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2. The Bryant Family Reunion and the Jordan Family Reunion both include a visit to the Math Meets Animals Zoo. The zoo charges different amounts for children and adults. In the following system, [tex]a[/tex] represents the cost of an adult ticket, and [tex]c[/tex] represents the cost of a child's ticket. The first equation in the system represents the amount of money that the Bryant family spends, and the second equation represents the amount of money that the Jordan family spends.

\[13a + 17c = 211\]
\[14a + 9c = 198\]

Which of the following statements are true? Select all that apply.

A. The Bryants take 13 adults and 17 children to the zoo.
B. There is a total of 28 children at the reunions.
C. There is a total of 23 people at the Jordan Family reunion.
D. 17 represents the cost of a child ticket for the Bryant family.
E. 14 represents the cost of an adult ticket for the Jordan family.
F. The Bryant family spends $198 on tickets for children and adults.
G. Together, the families spend $409.

Answer :

The true statement is Together, the families spend $409

How to solve the equation

We have to solve the equation using the substitution method

13a + 17c = 211

14a + 9c = 198

From equation 1:

13a = 211 - 17c

a = (211 - 17c)/13

Now substitute 'a' in equation 2:

14(211 - 17c)/13) + 9c = 198

multiply through by 13

14(211 - 17c) + 9c * 13 = 198 * 13

2942 - 238c + 117c = 2574

Combine like terms:

-121c = -368

c = 368 / 121

c = 3

Put the value of C in a

a = (211 - 17c)/13

a = (211 - 17 * 3) / 13

a = (211 - 51) / 13

a = 160 / 13

a = 12

The true statement is ogether, the families spend $409.

Together, they spend $211 + $198 = $409.

Read more on equations here:https://brainly.com/question/2972832

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